| Title: | A note on composition (m,n)-hyperrings |
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| Authors: | ID Norouzi, Morteza, University of Bojnord, Iran (Author)
ID Cristea, Irina Elena, University of Nova Gorica, Slovenia (Author) |
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| Files: |
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UNG - University of Nova Gorica
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| Abstract: | Based on the concepts of composition ring and composition hyperring, in this note we introduce the notion of composition structure for (m,n)-hyperrings and study the connections with composition hyperrings. Moreover we show that particular strong endomorphisms of (m,n)-hyperrings can determine the composition structure of such (m,n)-hyperrings. Finally, the three isomorphism theorems are presented in the case of composition (m, n)-hyperrings, showing that they are not a pure extension of those for composition hyperrings. |
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| Keywords: | n-hypergroup, (m, n)-hyperring, composition hyperideal |
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| Publication version: | Version of Record |
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| Year of publishing: | 2017 |
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| Number of pages: | 101-122 |
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| Numbering: | 2, 25 |
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| PID: | 20.500.12556/RUNG-3170-5f8d5fac-ab31-99e2-048a-66d9b858833f |
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| COBISS.SI-ID: | 4843259 |
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| DOI: | 10.1515/auom-2017-0023 |
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| NUK URN: | URN:SI:UNG:REP:STLA7DMZ |
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| Publication date in RUNG: | 13.07.2017 |
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| Views: | 3952 |
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| Downloads: | 0 |
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